Question

Area of a pizza is one-fourth of that of a cake. What is the ratio of their radii? [3 MARKS]

Answer 1

Formula: 1 Mark
Steps: 1 Mark
Answer: 1 Mark

Let the radius of the pizza be $r_1$ and radius of the cake be $r_2$.
Given: $\frac{areaofthepizza}{areaofthecake}=\frac{1}{4}$
Now, area of a circle = $\pi r^2$
$\Rightarrow \frac{\pi {r_1}^2}{\pi {r_2}^2}=\frac{1}{4}$
$\Rightarrow \frac{r_1^2}{r_2^2}=\frac{1}{2}$
$\Rightarrow \frac{r_1}{r_2}=\frac{1}{2}$
Therefore, the ratio of their radii is $\frac{1}{2}$